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On the structure of the general solution of a degenerate linear system of second-order differential equations

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Abstract

We establish sufficient conditions for the existence of a general Cauchy-type solution and conditions for the solvability of the Cauchy problem for a system of second-order differential equations.

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References

  1. A. M. Samoilenko and V. P. Yakovets’, “On the reducibility of a degenerate linear system to the central canonical form,” Dokl. Akad. Nauk Ukr., No. 4, 10–15 (1993).

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  2. V. P. Yakovets’, “On some properties of degenerate linear systems,” Ukr. Mat. Zh., 49, No. 9, 1278–1296 (1997).

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Authors and Affiliations

  1. Nezhin Pedagogic Institute, Nezhin

    V. P. Yakovets

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  1. V. P. Yakovets
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 2, pp. 292–298, February, 1998.

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Yakovets, V.P. On the structure of the general solution of a degenerate linear system of second-order differential equations. Ukr Math J 50, 334–341 (1998). https://doi.org/10.1007/BF02513455

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  • DOI: https://doi.org/10.1007/BF02513455

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